Jamiat chief Maulana Arshad Madani said they took the decision following extensive deliberations involving lawyers and experts.
A five-judge Constitution Bench headed by Chief Justice Ranjan Gogoi said that even if one per cent chance of mediation exists in the politically sensitive land dispute matter, it should be done.
The CPI-M on Friday said it was "inexplicable" why the Supreme Court stayed by a week the Ayodhya title suit verdict as the matter could not be settled out of court.
The Delhi government also advised all private schools to remain closed on November 9 as a precautionary measure in view of the verdict.